A 4 kg object is moving with a speed of 3 m/s. What is the magnitude of the work done to bring it to rest?
Options
A
9 J
B
18 J
C
27 J
D
36 J
Answer & Analysis
Answer
B
Analysis
To find the work done to bring the object
to rest, we will use the work-energy theorem, which states that the work done
on an object is equal to the change in its kinetic energy.
Calculate the initial kinetic energy
The initial velocity of the object is
, and the mass of the object is .
The initial kinetic energy
() is:
Calculate the final kinetic energy
When the object comes to rest, its final
velocity is
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